Long-time behavior of Granular Gases with impact-velocity dependent coefficient of restitution

TL;DR

This paper studies the long-term dynamics of granular gases with impact-velocity dependent restitution, showing that temperature decays to zero despite reduced dissipation, and cluster formation is transient.

Contribution

It introduces a model where inelastic collisions depend on impact velocity and analyzes its effects on temperature decay and cluster formation over time.

Findings

Temperature converges to zero despite low dissipation.

Cluster formation is only transient.

Temperature decay rate is calculated explicitly.

Abstract

A gas of particles which collide inelastically if their impact velocity exceeds a certain value is investigated. In difference to common granular gases, cluster formation occurs only as a transient phenomenon. We calculate the decay of temperature due to inelastic collisions. In spite of the drastically reduced dissipation at low temperature the temperature surprisingly converges to zero.